RESONANT BALUN WITH ARBITRARY IMPEDANCE TRANSFORMATION RATIO

Abstract: A balun circuit comprising a first signal source connected across a first inductive means and connected to the latter a first capacitive means. To that network are connected a second signal source, a second inductive means, and a load to be matched to the signal sources. With the right choice of component values to produce a resonant condition, a balun that interfaces two balanced signal sources to an unbalanced single-ended load results capable of low insertion loss, arbitrary impedance transformation ratio, testability in the form of a 50 ohm port for in-circuit power monitoring and circuit characterization, class E operation, and easy implementation, as only standard L and C components are necessary. The circuit is reversible for connecting a single source to a balanced load.

Description: Resonant balun with arbitrary impedance transformation ratio The invention is related to a balun circuit comprising at least one signal source having an output impedance being coupled to transformation means, a load impedance being coupled to said transformation means being substantially equal to the output impedance, and the output impedance of the transformation means being substantially equal to the load impedance. Such a balun circuit is known from the radio amateurs handbook 1980, published by the American Radio Relay League, pages 3-12 and 2-13. Known baluns, which perform this function while interfacing the line to the load, typically comprise transformer coupled windings on a ferrite core which provide fixed impedance transformations from line to load (1: 1 and 4: 1 are common). There are applications, however, where it would be desirable to achieve arbitrary impedance transformations, preferably with a low insertion loss. To my knowledge, baluns with these capabilities are not currently available. An object of the invention is a balun capable of an arbitrary impedance transformation ratio between a line and a load. Therefor the balun circuit is characterized in that the transformation means comprises an LC circuit with at least one inductor and at least one capacitor, said LC circuit being coupled to the signal source and the load impedance. The operation of the balun circuit is based on the possibility of an LC circuit to generate a signal having an opposite phase with respect to an input signal, using this property it is possible to generate a balanced signal from an unbalanced signal or vice versa. By choosing a proper value of the elements of the LC circuit arbitrary impedance transformation ratio can be obtained. In a preferred embodiment, the component values are chosen to satisfy a condition of resonance at the operating frequency. The circuit is reversible in that the source can be single-ended and the output a differential output. The circuit of the invention can be used in many ways as a standard balun, and is especially useful in a push-pull circuit such as an amplifier or mixer to provide out-of-phase signal splitting or combining. The various features of novelty which characterize the invention are pointed out with particularity in the claims annexed to and forming a part of this disclosure. For a better understanding of the invention, its operating advantages and specific objects attained by its use, reference should be had to the accompanying drawings and descriptive matter in which there are illustrated and described the preferred embodiments of the invention. Fig. 1 is a circuit diagram of part of a combined amplifier-mixer circuit incorporating a balun in accordance with the invention; Fig. 2 is a schematic of one form of balun according to the invention showing the resonant combining principle; Fig. 2A is an equivalent circuit of Fig. 2 under certain conditions; Fig. 3 is a schematic showing a power divider circuit; Fig. 4 is a circuit according to the invention incorporating the resonant combiner and power divider of Figs. 2 and 3; Fig. 4 A is a redrawn version of the Fig. 4 circuit; Fig. 5 is the AC equivalent circuit of the balun circuit incorporated in Fig. 1; Fig. 6 is a variant of the Fig. 5 circuit; Fig. 6A is a model of the circuit of the invention for use with a low impedance source, and Fig. 6B is a redrawn version of the Fig. 6 A model; Figs. 7 and 8 are AC equivalent circuits of balun circuit embodiments of the invention in which an unbalanced signal source is coupled to a balanced load; Figs. 9 and 10 are graphs demonstrating several benefits of a balun circuit according to the invention. Fig. 1 shows part of a circuit that can be used as a front end for a communication system in the 800-1200 MHz region, for example, for a cellular front end for the known systems, for RF data links, for portable radio, and for spread spectrum receivers. The centerpiece is a conventional low-noise-amplifier(LNA)/mixer combination in the form of an IC 10, for example, the Philips SA601. For present purposes, to appreciate the benefits of the invention, it is only necessary to describe the mixer part, which includes a conventional multiplier 11 to which is input an RF signal from an input 12 labelled MIXER IN and a local oscillator LO signal from an input 13 labelled EXT LO. A differential pair output 15, 16 is generated which feeds two single-ended outputs 18, 19, labelled, respectively, MIXER OUT A and MIXER OUT B. For the example given, assuming that the RF signal input is 900 MHz, and the LO signal is 817 MHz, then the two output frequencies will be 83 MHz. However, one of the outputs 18 has an output impedance of 50 ohms, whereas the other output has an output impedance of IK ohms. The balun circuit of the invention will combine the differential pair output 15, 16 to each of the single-ended outputs at the different impedances. That circuit comprises two inductors 21, 22, labelled LI and L2, a capacitor 24, labelled Cl, series capacitors 26, 27, labelled C6 and C7, to each of the mixer outputs, and two resistors 28, 29, shown in dashed lines and labelled Rl and R2. In actual use, only one resistor need be present. Thus, if the MIXER OUT A is used, then resistor 28 can be omitted. Conversely, if the MIXER OUT B is used, then resistor 29 can be omitted. If both outputs are used, then both resistors should be omitted. This shows an important benefit of the invention in its flexibility and matching power. The operation of the balun circuit of Fig. 1 will be best understood by describing AC equivalent circuits of a number of different embodiments of the invention. ' Fig. 2 shows the basic resonant system of the invention, comprising two out-of-phase current sources II, 12 at opposite ends of a Pi network of inductors LI and L2 and capacitor Cl. In dashed lines are shown resistors R3 and R4 representing parasitic resistors from non-idealized current source and inductor on each side of the Pi network. It can be shown that under the resonant condition: ω = 1/[(L1)2(C1)] , (1) and the high Q condition: (R3) > > ω (LI), (2) the circuit can be reduced to just the two current sources II, 12 corresponding to the differential pair in Fig. 1 but in phase and the same two resistors R3 and R4, as shown in Fig. 2A. Fig. 3 shows a single-ended current source 31 supplying power to resistor 56 and resistor 57 via inductor 58 and capacitor 26. When a lower value resistor load 57 is matched substantially to a higher value resistor source 56 via the inductor and capacitor, there thus results equal power dissipation across resistors 57 and 56. Fig. 4 is a circuit which combines the resonant combiner of the two current sources of Fig. 2 and the power divider of Fig. 3 in a common circuit under the condition: R(56) > > (R3)/2. (3) The same reference numerals and labels are used for similar parts in this and the other figures. Since inductors 35' and 58 are in parallel, they can be combined into the single inductor L2 as shown in Fig. 5. Fig. 5 shows a basic circuit embodiment of the invention. It comprises two current sources 30, 31 of opposite phase representing RF inputs to the circuit corresponding to the differential pair 15, 16 of Fig. 1, an inductor 32 corresponding to LI in Fig. 1 and labelled the same, a capacitor 34 corresponding to Cl and equally labelled, an inductor 35 corresponding to L2 and labelled the same, a capacitor 26 at one output corresponding to C6, a resistor 27 corresponding to R2 in Fig. 1, and a resistor 38 corresponding to Rl in Fig. 1. If desired, a capacitor (not shown) corresponding to C7 can be provided in series with resistor 38. The resistors 37, 38 are shown in dashed lines in Fig. 1 to illustrate that changing the value of either of those resistors will change the impedance at the corresponding output terminal. The circuit shown in Fig. 5 will exhibit the five advantages listed above. The value of resistor 38 will determine the output impedance at terminal 39 and thus can be chosen to equal the impedance of an arbitrary load, such as a piezoelectric filter. Then capacitor 26 and part of inductor 35 are used to match the impedance of load 27 substantially to resistor 38. Therefore, resistor 27 alternately defines the output impedance to the same level, should resistor 38 change its load value. Note, for example, that in Fig. 1, the corresponding resistor 28 for the 50 ohm output is 51 ohms and the corresponding resistor 29 for the 1 Kohm output is 1 Kohm. The opposite phase or differential inputs represented by the current sources 30, 31 will transfer power efficiently via a single-ended output, 39, to the load represented by 38, even though the inputs are balanced and the load is unbalanced. The equal power at the resistor 27 represents a second output 51 with a different output impedance, in the example of Fig. 1 of 50 ohms. This 50 ohm output 51 is useful as it provides a convenient port for monitoring the network providing the input signals. It is also conventional in this field for circuits to be characterized on the basis of a 50 ohm load, and the port 51 can be used for this purpose. To achieve the benefits of the invention, it is important that the values of the inductor 32 (LI) and capacitor 34 (Cl) satisfy the resonant condition of equation (1), where ω is the operating frequency of the network, specifically, the frequency of the current sources 30, 31. In practice, the frequency is usually fixed by the network, and LI and Cl are chosen to satisfy equation (1). Since real current sources and inductors exhibit losses, they can be modelled together by a shunt parasitic resistor R3 (Figs. 2 and 6), in which case it is important that the value of the inductor LI in Fig. 5 be chosen such that equation (2), repeated below, is satisfied: (R3) > > ω(Ll). (2) Also, the load impedance Rl should be chosen such that equation (3) is satisfied, which can be referred to as a lossy match. It can then be shown that the circuit of Fig. 5 can be derived from Fig. 4. In case satisfaction of equation (3) is not feasible, the resistor 38 (Fig. 5) can be omitted and replaced by the intrinsic resistor (R3)/2, which can be referred to as a lossless match. Under this condition, only one output is available, as shown in Fig. 6, but the power gain is still increased~3 dB in this case instead of 6 dB if two outputs were present. For microwave circuits or high power circuits, however, it would often be difficult to meet the condition of equation (2) because the value of resistor R3 is quite low in the first place. Therefore, a modified high Q circuit can be implemented by inserting an inductor L in series with the current source (Fig. 6A), not in parallel as in Fig. 2. Then a high Q condition is met if: ω L » (R3). (4) Based on the Fig. 6A model, which can be transformed into Fig. 6B, Figs. 5-8 can be derived accordingly. And the power gain increase also is 3 dB. The balun circuit of the invention is reversible in the sense that a single- ended input can provide an out-of-phase power splitting. This is illustrated in Fig. 7, in which case the current sources are replaced by output voltages taken across the two inductors 32, 35, and the output load in this case is replaced by a current source 63 representing an unbalanced signal input, transformed by the circuit to a balanced output which splits the voltage at the inductors 32, 35 which are out-of-phase naturally. The value of the resistor 38 determines the load impedance under the condition of equation (3). If the condition of equation (3) can not be met, then the circuit of Fig. 8 can be employed, in which the intrinsic resistors R3 and R4 are substantially matched. Due to the duality of inductor and capacitor, the circuit will produce the same result after the inductors and capacitors swap their positions. For instance, Fig. 4 can be redrawn as Fig. 4A, with inductor L5 replacing capacitor C6, capacitor C7 replacing inductor L3, and capacitor C3 replacing inductor 35'. It will be evident from the foregoing description that the invention is not limited to the component values given which represent preferred values, and that other arrangements of the components within the principles described and which will achieve the benefits described are also considered within the scope of the invention. Figs. 9 and 10 demonstrate several advantages of the invention. Fig. 9 is a graph plotting the transfer function of the balun circuit of Fig. 1 with the ordinate representing phase in degrees, and the abscissa representing frequency in MHz. The phase was plotted against frequency for two conditions: curve 60 for a transfer ratio of 12 to 50 ohms, and curve 61 for 11 to 50 ohms. Both transfer functions were so similar that the curves completely overlapped over the full frequency range shown. In Fig. 10, amplitude in dB was plotted against the same frequency range for three conditions: the top curve 62 represents superimposed plots for transfer ratios of 11 to 50 and 12 to 50 ohms with both current sources 30, 31 in Fig. 5 (both mixer outputs in Fig. 1) active or ON; the lower curve of the pair below designated 63 is for a transfer ratio of 11 to 50 ohms but with the current source 30 (Fig. 5) ON and current source 31 OFF, and the upper curve of the pair below designated 64 is for a transfer ratio of 12 to 50 ohms but with the current source 30 (Fig. 5) OFF and current source 31 ON. The curve 60,61 in Fig. 9 and the curve 62 in Fig. 10 show perfect phase transfer and equal amplitudes; the curves 63 and 64 in Fig. 10 illustrate that with only one of the current sources utilized, comparable outputs are obtained, but when they are combined in the resonant circuit according to the invention, the greatly increased output by as much as 6 dB represented by curve 62 is obtained. Fig. 1 gives an example of suitable values for the components of the balun of the invention, but it will be understood that the invention is not limited to a circuit with those values and those skilled in the art by following the principles described herein will be able to select other component values to obtain a circuit exhibiting the benefits of the invention . While the invention has been described in connection with preferred embodiments, it will be understood that modifications thereof within the principles outlined above will be evident to those skilled in the art and thus the invention is not limited to the preferred embodiments but is intended to encompass such modifications.

Claims: CLAIMS 1. A balun circuit comprising at least one signal source having output impedance being coupled to transformation means, a load impedance being coupled to said transformation means, the input impedance of the transformation means being substantially equal to the output impedance, and the output impedance of the transformation means being substantially equal to the load impedance, characterized in that the transformation means comprises an LC circuit with at least one inductor and at least one capacitor, said LC circuit being coupled to the signal source and to the load impedance. 2. A balun circuit as claimed in claim 1, wherein the signal source is balanced and the load is unbalanced. 3. A balun circuit as claimed in claim 1, wherein the signal source is unbalanced and the load is balanced. 4. A balun circuit according to claim 2 comprising: (a) a first signal source at a given frequency ω, (b) first inductive means having a value LI connected across the first signal source, the combined shunt resistance of the first signal source and first inductive means having a value R3 where R3 > > ωLl, (c) first capacitive means having a value C 1 and having a first terminal connected to the junction of the first signal source and the first inductive means and having a second terminal, (d) second inductive means having a value L2 connected to the second terminal of the first capacitive means, (e) a second signal source at said given frequency ω but of opposite phase to that of the first signal source and connected to the second terminal of the first capacitive means, the combined shunt resistance of the second signal source and second inductive means having a value R4, (f) a first output having a first impedance connected to the second terminal or the first terminal of the first capacitive means. 5. A balun circuit as claimed in claim 4, wherein LI and Cl have values satisfying the equation: ω=l/(2LC) % , where ω is the operating frequency of the first and second signal sources. 6. A balun circuit according to claim 2 comprising: (a) a first signal source at a given frequency ω, (b) first inductive means having a value LI connected in series with the first signal source, the combined shunt resistance of the first signal source and first inductive means having a value R3 where R3 < < ωLl, (c) first capacitive means having a value Cl and having a first terminal connected to the first inductive means and having a second terminal, (d) second inductive means having a value L2 connected to the second terminal of the first capacitive means, (e) a second signal source at said given frequency ω but of opposite phase to that of the first signal source and connected in series with the second terminal of the second inductive means, the combined shunt resistance of the second signal source and second inductive means having a value R4, (f) a first output having a first impedance connected to the second terminal of the first capacitive means. 7. A balun circuit according to claim 2 comprising: (a) a first signal source at a given frequency ω, (b) first inductive means having a value LI connected across the first signal source, the combined shunt resistance of the first signal source and first inductive means having a value R3 where R3 > > ωLl, (c) first capacitive means having a value Cl and having a first terminal connected to the junction of the first signal source and the first inductive means and having a second terminal, (d) second inductive means having a value L2 connected to the second terminal of the first capacitive means, (e) a second signal source at said given frequency ω but of opposite phase to that of the first signal source and connected to the second terminal of the first capacitive means, (f) a first output having a first impedance connected to the second terminal of the first capacitive means. 8. A balun circuit as claimed in claim 14, wherein LI and Cl have values satisfying the equation: ω=l/(2LC) l i , where ω is the operating frequency of the first and second signal sources. 9. A balun circuit according to claim 3 comprising: (a) a signal source at a given frequency ω, (b) a first resistor R2 connected across the first signal source, (c) first inductive means having a value LI connected across the first signal source, (d) first capacitive means having a value Cl and having a first terminal connected to the junction of the first signal source and the first inductive means and having a second terminal, (e) second inductive means having a value L2 connected to the second terminal of the first capacitive means, (f) the voltages across said first and second inductive means being of opposite phase and representing two outputs of the circuit. 10. A balun circuit according to claim 3 comprising: (a) a first signal source at a given frequency ω, (b) first capacitive means having a value Cl and connected across the first signal source, (b) first inductive means having a value LI and having a first terminal connected to the junction of the first signal source and the first capacitive means and having a second terminal, the combined shunt resistance of the first signal source and first capacitive means having a value R3 where R3 > > ωCl, (d) second capacitive means connected to the second terminal of the first inductive means, (e) a second signal source at said given frequency ω but of opposite phase to that of the first signal source and connected to the second terminal of the first inductive means, the combined shunt resistance of the second signal source and second capacitive means having a value R4, (f) a first output having a first impedance connected to the second terminal of the first inductive means.

Inventors: LEE SHENG-HANN, LEE, SHENG-HANN
Applicants: KONINKL PHILIPS ELECTRONICS NV, PHILIPS NORDEN AB, PHILIPS ELECTRONICS N.V.
Application year: 1994
Main classification: H01P5
IPC codes: H03H7